中文摘要：

本文引进了理想对称模的概念，给出了理想对称模的系列等价刻画，用理想对称模给出了环R为理想对称环的若干等价条件，证明了对于环R的满足右Ore条件正则元的集S，如果S-挠自由R-模M是理想对称模，则M关于S的右分式模也是理想对称的，推广了理想对称环的相应结果．

英文摘要：

In this paper by introducing the concept of ideal symmetric module and giving some equivalent chara- terizations to it, some equivalent conditions under which a ring R is ideal symmetric are obtained. When S is a subset of some regular elements of a ring R satisfying the right Ore conditions,it is proved that the module of fractionsM[S-l] is also ideal symmetric if M is ideal symmetric and S--torsion--free, which generalizes the re- suits in ~7] on ideal symmetric rings.